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Finding the Fourth Proportional to 32,494.49, 48,743.47 and 10,309.61

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Solution

The fourth proportional to 32,494.49, 48,743.47 and 10,309.61 is: 15,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.49 : 48,743.47 = 10,309.61 : x
  2. Step 2: Convert to fraction form
    32,494.49/48,743.47 = 10,309.61/x
  3. Step 3: Cross multiply
    32,494.49x = 48,743.47 × 10,309.61
  4. Step 4: Simplify right side
    32,494.49x = 502,525,896.26
  5. Step 5: Solve for x
    x = 502,525,896.26/32,494.49
  6. Step 6: Final answer
    x = 15,464.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.